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Water 2015, 7(4), 1670-1686; doi:10.3390/w7041670

Multifractal Detrended Fluctuation Analysis of Streamflow in the Yellow River Basin, China

1
,
2,3,* , 2,3,* and 2,3
1
College of Water Resources and Architectural Engineering, Northwest A&F University, Yangling, Shaanxi 712100, China
2
Institute of Soil and Water Conservation, Northwest A&F University, Yangling, Shaanxi 712100, China
3
Institute of Soil and Water Conservation, Chinese Academy of Science and Ministry of Water Resources, Yangling, Shaanxi 712100, China
*
Authors to whom correspondence should be addressed.
Academic Editor: Miklas Scholz
Received: 21 November 2014 / Revised: 3 April 2015 / Accepted: 8 April 2015 / Published: 17 April 2015
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Abstract

Multifractal detrended fluctuation analysis (MFDFA) can provide information about inner regularity, randomness and long-range correlation of time series, promoting the knowledge of their evolution regularity. The MFDFA are applied to detect long-range correlations and multifractal behavior of streamflow series at four hydrological stations (Toudaoguai, Longmen, Huangfu and Ganguyi) in the main channel and tributaries of the Yellow River. The results showed that there was one crossover point in the log−log curve of the fluctuation function Fq(s) versus s. The location for the crossover point is approximately one year, implying an unchanged annual periodicity within the streamflow variations. The annual periodical feature of streamflow was removed by using seasonal trend decomposition based on locally weighted regression (STL). All the decomposed streamflow series were characterized by long-term persistence in the study areas. Strong dependence of the generalized Hurst exponent h(q) on q exhibited multifractal behavior in streamflow time series at four stations in the Yellow River basin. The reduction of dependence of h(q) on q for shuffled time series showed that the multifractality of streamflow series was responsible for the correlation properties, as well as the probability density function of the streamflow series. View Full-Text
Keywords: multifractal behavior; multifractal detrended fluctuation analysis; streamflow; Yellow River multifractal behavior; multifractal detrended fluctuation analysis; streamflow; Yellow River
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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MDPI and ACS Style

Li, E.; Mu, X.; Zhao, G.; Gao, P. Multifractal Detrended Fluctuation Analysis of Streamflow in the Yellow River Basin, China. Water 2015, 7, 1670-1686.

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